In mathematics, Kuiper's theorem (after Nicolaas Kuiper) is a result on the topology of operators on an infinite-dimensional, complex Hilbert space H...

The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash Jr., state that every Riemannian manifold can be isometrically embedded...

footballer Nicolaas Kuiper (1920–1994), Dutch mathematician, known for Kuiper's test, Kuiper's theorem, and the Eells–Kuiper manifold Peter Kuiper (1929–2007)...

Hendrik Kuiper (Dutch pronunciation: [ˈkœypər]; 28 June 1920 – 12 December 1994) was a Dutch mathematician, known for Kuiper's test and proving Kuiper's theorem...

Neumann algebra) Kuiper's theorem (operator theory, topology) Lax–Milgram theorem (partial differential equations) Lions–Lax–Milgram theorem (partial differential...

Eliashberg, including work building upon Nash and Kuiper's theorem and the Nash–Moser implicit function theorem. There are many applications of his results...

larger group, and topologically much simpler, namely contractible – see Kuiper's theorem. List of finite simple groups SL2(R) Representation theory of SL2(R)...

that these may have simpler topological properties: see for example Kuiper's theorem. In M-theory, for example, a 10-dimensional SU(N) gauge theory becomes...

mathematician and an economist. Beltrami equation Jessen's icosahedron Kuiper's theorem "Daniel Léon Jean Douady". geni_family_tree. 1904-09-26. Retrieved...

this difference, Hilbert manifolds have several very nice properties. Kuiper's theorem: If X {\displaystyle X} is a compact topological space or has the homotopy...

which the Nash–Kuiper theorem allows arbitrarily flexible embeddings, see remarks by Bartels & Hornung (2015), p. 116, following Theorem 2.2. Möbius strips...

techniques, Nicolaas Kuiper soon found even smaller codimensions, with the improved result often known as the Nash–Kuiper theorem.) As such, Nash's embeddings...

Whitney–Graustein theorem. This was followed by the Nash–Kuiper isometric C1 embedding theorem and the Smale–Hirsch immersion theorem. Assume we want to...

which is a contradiction.) On the other hand, according to the Nash-Kuiper theorem, which was proven in the 1950s, an isometric C1 embedding exists. This...

invariant The Kervaire invariant. Koszul duality Koszul duality. Kuiper Kuiper's theorem says that the general linear group of an infinite-dimensional Hilbert...

Equidistribution theorem Low-discrepancy sequence Erdős–Turán inequality Kuipers & Niederreiter (2006) pp. 2–3 http://math.uga.edu/~pete/udnotes.pdf, Theorem 8 Kuipers...

for Excel runs the test as KSCRIT and KSPROB. Lepage test Cucconi test Kuiper's test Shapiro–Wilk test Anderson–Darling test Cramér–von Mises test Wasserstein...

the center have negative curvature. According to Kuiper's formulation of the Nash embedding theorem, there is a C 1 {\displaystyle C^{1}} embedding S...

exactly three singular points. Then M {\displaystyle M} is a Eells–Kuiper manifold. Theorem: Let M n {\displaystyle M^{n}} be a compact connected manifold...

that encodes the lengths and area. Reciprocally, according to the Nash-Kuiper theorem, any Riemannian surface with boundary can be embedded in Euclidean space...

The closely related Kuiper's test is useful if the domain of the distribution is cyclic as in day of the week. For instance Kuiper's test might be used...

experiment. Takens also established the result now known as the Takens's theorem, which shows how to reconstruct a dynamical system from an observed time-series...

paths). These techniques were used in Raoul Bott's proof of his periodicity theorem. The analogue of Morse theory for complex manifolds is Picard–Lefschetz...

Kruskal–Wallis one-way analysis of variance Kuder–Richardson Formula 20 Kuiper's test Kullback's inequality Kullback–Leibler divergence Kumaraswamy distribution...

In mathematics, a Weyl sequence is a sequence from the equidistribution theorem proven by Hermann Weyl: The sequence of all multiples of an irrational...

In mathematics, Reeb sphere theorem, named after Georges Reeb, states that A closed oriented connected manifold M n that admits a singular foliation having...

with constant bounded treewidth is provided. Specifically, Courcelle's theorem states that if a graph problem can be expressed in the logic of graphs...

the application of this work was instrumental in his mean ergodic theorem. The theorem is about arbitrary one-parameter unitary groups t → V t {\displaystyle...

developments around the classical Riemann–Roch theorem; it was also a precursor of the Atiyah–Singer index theorem and Grothendieck's powerful generalisation...

translates, and its position does not change when it rotates. Euler's rotation theorem shows that in three dimensions any orientation can be reached with a single...